Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 10 and 3150.

**Answer**

$10=(2)(5)$

$3150=(2)({3}^{2})({5}^{2})(7)$

The LCM of 10 and 3150 is the product of the largest powers of each prime factor in both.

Thus the LCM of 10 and 3150

$=(2)({3}^{2})({5}^{2})(7)$

$=3150$